Finite Group Databasebeta

← #11868838

Subgroups — #11868838

Order 1152.

913 conjugacy classes of subgroups.

The subgroup lattice has 743 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10595386C211yesmaximal, characteristic
2#10594374C211yesmaximal, characteristic, complemented
3#10592502C211yesmaximal, characteristic
4C3×#4793C211yesmaximal, characteristic, complemented
5C3×#4791C211yesmaximal, characteristic, complemented
6#10591554C211yesmaximal, characteristic
7#10591546C211yesmaximal, characteristic, complemented
8#10591544C211yesmaximal, characteristic, complemented
9#10590764C211yesmaximal, characteristic, complemented
10#10590759C211yesmaximal, characteristic, complemented
11#10590688C211yesmaximal, characteristic, complemented
12#10590666C211yesmaximal, characteristic, complemented
13#10590583C211yesmaximal, characteristic, complemented
14#10590466C211yesmaximal, characteristic, complemented
15#10590464C211yesmaximal, characteristic, complemented
16#81109—31nomaximal
17#81012—31nomaximal
18C2×#3832C2211yescharacteristic
19C2×#3797—21no—
20C2×#3743C2211yescharacteristic
21C4⋊C4×C3⋊D3C2211yescharacteristic
22C3×Q8×Dic3C2211yescharacteristic
23C3×Q8×Dic3C2211yescharacteristic
24C3×#888C2211yescharacteristic
25C3×#888C2211yescharacteristic
26#63918C2211yescharacteristic
27#63918C2211yescharacteristic
28#63900C2211yescharacteristic
29#63894—21no—
30#63894—21no—
31#63894C2211yescharacteristic
32#63894C2211yescharacteristic
33#63883—21no—
34C4×#624—21no—
35C4×#624C2211yescharacteristic
36#63849—21no—
37#63849C2211yescharacteristic
38#63839—21no—
39#63839—21no—
40C2×#3712C2211yescharacteristic
41C32×#103C2211yescharacteristic
42#63662C2211yescharacteristic
43#63648C2211yescharacteristic
44#63636C2211yescharacteristic
45C3×#835C2211yescharacteristic
46C3×#835C2211yescharacteristic
47C3×#818C2211yescharacteristic
48C3×#817C2211yescharacteristic
49C3×Dic3⋊C8C2211yescharacteristic
50C3×Dic3⋊C8C2211yescharacteristic
51C3×#808C2211yescharacteristic
52C3×#807C2211yescharacteristic
53#63576C2211yescharacteristic
54#63575C2211yescharacteristic
55#63574C2211yescharacteristic
56#63573C2211yescharacteristic
57Dic3⋊(C3⋊C8)C2211yescharacteristic
58Dic3⋊(C3⋊C8)C2211yescharacteristic
59#63564C2211yescharacteristic
60#63564C2211yescharacteristic
61D3×C4⋊Q8—31no—
62D3×C4⋊Q8—31no—
63C4×#239—31no—
64C4×#239—31no—
65C3×#477—31no—
66C3×#475—31no—
67#5087—31no—
68#5084—31no—
69#5021—31no—
70#5020—31no—
71#4890—31no—
72#4890—31no—
73#4881—31no—
74#4881—31no—
75#4870—31no—
76#4870—31no—
77#4861—31no—
78#4861—31no—
79#4846—31no—
80#4842—31no—
81#4837—31no—
82#4837—31no—
83#4803—31no—
84#4803—31no—
85#4803—31no—
86#4803—31no—
87#4803—61no—
88#4793—31no—
89#4793D311yescharacteristic, complemented
90#4791—31no—
91#4791D311yescharacteristic, complemented
92C2×C32×Q8C2311yescharacteristic
93#3832—22no—
94#3832Q814yescomplemented
95C2×C4⋊(C3⋊D3)—21no—
96C2×C4⋊(C3⋊D3)C2311yescharacteristic
97C2×C4×C3⋊D3—21no—
98C2×C4×C3⋊D3—21no—
99C2×C4×C3⋊D3C2311yescharacteristic
100C2×C3×Dic6—21no—
101C2×C3×Dic6—21no—
102C2×#627—21no—
103C2×#627—21no—
104C2×#624—21no—
105C2×#624—21no—
106C2×#624—21no—
107C2×#624D411yescharacteristic
108C2×#624D411yescharacteristic
109#3797—44no—
110C2×C32×C8C2311yescharacteristic
111C32×C4⋊C4C2311yescharacteristic
112C4⋊(C3⋊Dic3)C2311yescharacteristic
113#3750—21no—
114C2×C3⋊(C3⋊C8)C2311yescharacteristic
115#3743—22no—
116C3×C4⋊Dic3—21no—
117C3×C4⋊Dic3—21no—
118C3×C4⋊Dic3C2311yescharacteristic
119C3×C4⋊Dic3C2311yescharacteristic
120C3×C4⋊Dic3C2311yescharacteristic
121C3×C4⋊Dic3C2311yescharacteristic
122C3×Dic3⋊C4—21no—
123C3×Dic3⋊C4—21no—
124C3×C4×Dic3—21no—
125C3×C4×Dic3—21no—
126C3×C4×Dic3C2311yescharacteristic
127C3×C4×Dic3C2311yescharacteristic
128C2×C3×C3⋊C8C2311yescharacteristic
129C2×C3×C3⋊C8C2311yescharacteristic
130#3724—21no—
131Dic3⋊Dic3—21no—
132Dic3⋊Dic3—21no—
133#3722—21no—
134#3722—21no—
135#3722—21no—
136Dic32—21no—
137Dic32D411yescharacteristic
138Dic32D411yescharacteristic
139#3712—22no—
140#3079—91noSylow
141C2×#239—31no—
142C2×#239—31no—
143C2×#239—61no—
144C2×D3×Q8—61no—
145C2×D3×Q8—61no—
146C3×C4⋊Q8—31no—
147C3×C4⋊Q8—31no—
148C3×C4×Q8—31no—
149C3×C4×Q8—31no—
150Q8×Dic3C2×D311yescharacteristic
151Q8×Dic3C2×D311yescharacteristic
152#944—61no—
153#944—61no—
154C2×ΓL(1,𝔽25)—31no—
155C2×ΓL(1,𝔽25)—31no—
156C2×ΓL(1,𝔽25)—31no—
157C2×ΓL(1,𝔽25)—31no—
158C2×ΓL(1,𝔽25)—61no—
159#893—31no—
160#893—31no—
161#893—61no—
162#893—61no—
163#892—31no—
164#892—31no—
165#892—61no—
166#892—61no—
167D3×C4⋊C4—31no—
168D3×C4⋊C4—31no—
169D3×C4⋊C4—31no—
170D3×C4⋊C4—31no—
171D3×C4⋊C4—61no—
172D3×C4⋊C4—61no—
173D3×C4⋊C4—61no—
174#888—31no—
175#888—31no—
176#888—61no—
177#888—61no—
178#888C2×D311yescharacteristic
179#888C2×D311yescharacteristic
180C4×D12—31no—
181C4×D12—31no—
182C4×D12—61no—
183C4×D12—61no—
184C42×D3—31no—
185C42×D3—31no—
186C42×D3—61no—
187C42×D3—61no—
188#869—31no—
189#869—31no—
190C3×#107—31no—
191C3×#107—31no—
192C3×#106—31no—
193C3×#106—31no—
194C3×C4⋊C8—31no—
195C3×C4⋊C8—31no—
196C3×#103—21no—
197C3×#103—31no—
198C3×#103—31no—
199C3×#103C2×D311yescharacteristic
200C3×#103C2×D311yescharacteristic
201#835—31no—
202#835—31no—
203#835—61no—
204#835C2×D311yescharacteristic
205#835C2×D311yescharacteristic
206#821—31no—
207#821—31no—
208#821—31no—
209#821—31no—
210#821—61no—
211#818—31no—
212#818C2×D311yescharacteristic
213#817—31no—
214#817C2×D311yescharacteristic
215Dic3⋊C8—31no—
216Dic3⋊C8—31no—
217Dic3⋊C8C2×D311yescharacteristic
218Dic3⋊C8C2×D311yescharacteristic
219#809—31no—
220#809—31no—
221#809—31no—
222#809—31no—
223#809—61no—
224#808—31no—
225#808—31no—
226#808—31no—
227#808C2×D311yescharacteristic
228#807—31no—
229#807—31no—
230#807—31no—
231#807C2×D311yescharacteristic
232C4⋊(C3⋊C8)—31no—
233C4⋊(C3⋊C8)—31no—
234C22×C3⋊D3—21no—
235C22×C3⋊D3C2×D411yescharacteristic
236C32×Q8—21no—
237C32×Q8C2×Q812yescomplemented
238C2×C32×C4—21no—
239C2×C32×C4—21no—
240C2×C32×C4C2411yescharacteristic
241C2×C3⋊Dic3—21no—
242C2×C3⋊Dic3C2×D411yescharacteristic
243C4⋊(C3⋊D3)—24no—
244C4⋊(C3⋊D3)—21no—
245C4⋊(C3⋊D3)C2×Q812yescomplemented
246C4×C3⋊D3—24no—
247C4×C3⋊D3—42no—
248C4×C3⋊D3C2×Q812yes—
249C4×C3⋊D3#4112yes—
250C2×C3×Dic3—21no—
251C2×C3×Dic3—21no—
252C2×C3×Dic3—21no—
253C2×C3×Dic3—21no—
254C2×C3×Dic3C2×D411yescharacteristic
255C2×C3×Dic3C2×D411yescharacteristic
256C2×C3×Dic3C2×D411yescharacteristic
257C2×C3×Dic3C2×D411yescharacteristic
258C3×Dic6—42no—
259C3×Dic6—42no—
260#627—42no—
261#627—42no—
262#624—22no—
263#624—22no—
264#624—42no—
265#624—42no—
266#624—42no—
267C32×C8—21no—
268C3⋊(C3⋊C8)—21no—
269C3×C3⋊C8—21no—
270C3×C3⋊C8—21no—
271C2×C4⋊Q8—91no—
272C4×#41—91no—
273#477—31no—
274#477—91no—
275#476—91no—
276#476—91no—
277#475—31no—
278#475—91no—
279#474—91no—
280#474—91no—
281#428—91no—
282#428—91no—
283#423—91no—
284#417—91no—
285#417—91no—
286C2×C3×Q8—21no—
287C2×C3×Q8—61no—
288C2×C3×Q8—61no—
289C2×C3×Q8C22×D311yescharacteristic
290C2×C3×Q8C22×D311yescharacteristic
291#239—34no—
292#239—34no—
293#239—64no—
294#239—62no—
295#239—62no—
296#239—122no—
297D3×Q8—124no—
298D3×Q8—124no—
299C2×D12—31no—
300C2×D12—31no—
301C2×D12—61no—
302C2×D12—61no—
303C2×D12—61no—
304C2×D12—121no—
305C2×C4×D3—31no—
306C2×C4×D3—31no—
307C2×C4×D3—31no—
308C2×C4×D3—31no—
309C2×C4×D3—31no—
310C2×C4×D3—31no—
311C2×C4×D3—61no—
312C2×C4×D3—61no—
313C2×C4×D3—61no—
314C2×C4×D3—61no—
315C2×C4×D3—61no—
316C2×C4×D3—61no—
317C2×C4×D3—61no—
318C2×C4×D3—61no—
319C2×C4×D3—61no—
320C2×C4×D3—61no—
321C2×C4×D3—61no—
322C2×C4×D3—121no—
323C2×C4×D3—121no—
324C2×Dic6—21no—
325C2×Dic6—21no—
326C2×Dic6—61no—
327C2×Dic6—61no—
328C2×Dic6—61no—
329C2×Dic6—61no—
330C2×C3×C8—21no—
331C2×C3×C8—31no—
332C2×C3×C8—31no—
333C2×C3×C8C22×D311yescharacteristic
334C2×C3×C8C22×D311yescharacteristic
335C3×C4⋊C4—21no—
336C3×C4⋊C4—31no—
337C3×C4⋊C4—31no—
338C3×C4⋊C4—31no—
339C3×C4⋊C4—31no—
340C3×C4⋊C4—61no—
341C3×C4⋊C4—61no—
342C3×C4⋊C4—61no—
343C3×C4⋊C4—61no—
344C3×C4⋊C4C22×D311yescharacteristic
345C3×C4⋊C4C22×D311yescharacteristic
346C3×C42—31no—
347C3×C42—31no—
348C3×C42—61no—
349C3×C42—61no—
350(C2×D3)⋊C4—61no—
351(C2×D3)⋊C4—61no—
352(C2×D3)⋊C4—61no—
353(C2×D3)⋊C4—61no—
354(C2×D3)⋊C4—61no—
355(C2×D3)⋊C4—61no—
356C4⋊Dic3—21no—
357C4⋊Dic3—21no—
358C4⋊Dic3—31no—
359C4⋊Dic3—31no—
360C4⋊Dic3—61no—
361C4⋊Dic3—61no—
362C4⋊Dic3—61no—
363C4⋊Dic3C22×D311yescharacteristic
364C4⋊Dic3C22×D311yescharacteristic
365C4⋊Dic3C22×D311yescharacteristic
366C4⋊Dic3C22×D311yescharacteristic
367Dic3⋊C4—21no—
368Dic3⋊C4—21no—
369Dic3⋊C4—61no—
370Dic3⋊C4—61no—
371Dic3⋊C4—61no—
372Dic3⋊C4—61no—
373Dic3⋊C4—61no—
374Dic3⋊C4—61no—
375Dic3⋊C4—121no—
376C4×Dic3—21no—
377C4×Dic3—21no—
378C4×Dic3—31no—
379C4×Dic3—31no—
380C4×Dic3—31no—
381C4×Dic3—31no—
382C4×Dic3—61no—
383C4×Dic3—61no—
384C4×Dic3C22×D311yescharacteristic
385C4×Dic3C22×D311yescharacteristic
386C2×C3⋊C8—31no—
387C2×C3⋊C8—31no—
388C2×C3⋊C8—61no—
389C2×C3⋊C8C22×D311yescharacteristic
390C2×C3⋊C8C22×D311yescharacteristic
391ΓL(1,𝔽25)—62no—
392ΓL(1,𝔽25)—62no—
393ΓL(1,𝔽25)—62no—
394ΓL(1,𝔽25)—62no—
395ΓL(1,𝔽25)—122no—
396C22×C32C22×D411yescharacteristic
397C2×C3⋊D3—21no—
398C2×C3⋊D3—21no—
399C2×C3⋊D3—22no—
400C2×C3⋊D3—41no—
401C2×C3⋊D3—41no—
402C2×C3⋊D3C22⋊Q812yes—
403C32×C4—22no—
404C32×C4—41no—
405C32×C4C22×Q811yescharacteristic
406C32×C4C2×#4111yescharacteristic
407C3⋊Dic3—41no—
408C3⋊Dic3C22⋊Q812yes—
409C3×Dic3—21no—
410C3×Dic3—21no—
411C3×Dic3—41no—
412C3×Dic3—41no—
413C3×Dic3—41no—
414C3×Dic3—41no—
415C3×Dic3AGL(1,ℤ/8)12yes—
416C3×Dic3#13712yes—
417C2×#41—91no—
418C22×Q8—181no—
419C2×M16—91no—
420C2×M16—91no—
421C4⋊Q8—31no—
422C4⋊Q8—31no—
423C4⋊Q8—91no—
424C4⋊Q8—91no—
425C4⋊Q8—181no—
426C4⋊Q8—181no—
427C4×Q8—31no—
428C4×Q8—31no—
429C4×D4—91no—
430C4×D4—91no—
431C4×D4—181no—
432C4×D4—181no—
433#117—91no—
434#117—181no—
435C2×C4⋊C4—91no—
436C2×C4⋊C4—91no—
437C2×C4⋊C4—181no—
438C2×C42—91no—
439C2×C42—181no—
440#107—31no—
441#107—31no—
442#107—91no—
443#107—91no—
444#106—31no—
445#106—31no—
446#106—91no—
447#106—91no—
448C4⋊C8—31no—
449C4⋊C8—31no—
450C4⋊C8—91no—
451C4⋊C8—91no—
452#103—31no—
453#103—31no—
454#103—91no—
455#103D3211yescharacteristic
456#102—91no—
457#102—91no—
458#102—91no—
459#102—91no—
460C22×D3—31no—
461C22×D3—31no—
462C22×D3—61no—
463C22×D3—61no—
464C22×D3—61no—
465C22×D3—121no—
466C3×Q8—21no—
467C3×Q8—21no—
468C3×Q8—22no—
469C3×Q8—41no—
470C3×Q8—122no—
471C3×Q8—122no—
472C3×Q8D3×Q812yescomplemented
473C3×Q8D3×Q812yescomplemented
474C2×C3×C4—21no—
475C2×C3×C4—21no—
476C2×C3×C4—21no—
477C2×C3×C4—21no—
478C2×C3×C4—21no—
479C2×C3×C4—31no—
480C2×C3×C4—31no—
481C2×C3×C4—31no—
482C2×C3×C4—31no—
483C2×C3×C4—41no—
484C2×C3×C4—41no—
485C2×C3×C4—61no—
486C2×C3×C4—61no—
487C2×C3×C4—61no—
488C2×C3×C4—61no—
489C2×C3×C4C23×D311yescharacteristic
490C2×C3×C4C23×D311yescharacteristic
491C2×Dic3—21no—
492C2×Dic3—21no—
493C2×Dic3—21no—
494C2×Dic3—21no—
495C2×Dic3—31no—
496C2×Dic3—31no—
497C2×Dic3—61no—
498C2×Dic3—61no—
499C2×Dic3—61no—
500C2×Dic3—121no—
501C2×Dic3D3×D411yescharacteristic
502C2×Dic3D3×D411yescharacteristic
503C2×Dic3D3×D411yescharacteristic
504C2×Dic3D3×D411yescharacteristic
505D12—32no—
506D12—32no—
507D12—62no—
508D12—64no—
509D12—64no—
510D12—61no—
511D12—61no—
512D12—121no—
513D12—124no—
514C4×D3—32no—
515C4×D3—32no—
516C4×D3—32no—
517C4×D3—32no—
518C4×D3—62no—
519C4×D3—62no—
520C4×D3—62no—
521C4×D3—62no—
522C4×D3—64no—
523C4×D3—64no—
524C4×D3—62no—
525C4×D3—62no—
526C4×D3—124no—
527C4×D3—122no—
528C4×D3—122no—
529C4×D3—122no—
530C4×D3—122no—
531C4×D3—122no—
532C4×D3—122no—
533C4×D3—122no—
534C4×D3—122no—
535C4×D3—242no—
536Dic6—42no—
537Dic6—42no—
538Dic6—122no—
539Dic6—122no—
540Dic6—122no—
541Dic6—122no—
542C3×C8—21no—
543C3×C8—21no—
544C3×C8—41no—
545C3×C8—61no—
546C3×C8—61no—
547C3⋊C8—21no—
548C3⋊C8—21no—
549C3⋊C8—61no—
550C3⋊C8—61no—
551C3⋊C8—121no—
552C2×C32C2×C22⋊Q811yescharacteristic
553C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
554C2×C32C2×#13711yescharacteristic
555C3⋊D3—22no—
556C3⋊D3—42no—
557#41—94no—
558#41—182no—
559C2×Q8—61no—
560C2×Q8—61no—
561C2×Q8—181no—
562C2×Q8—181no—
563C2×Q8—364no—
564C2×Q8C2×D3211yescharacteristic
565C2×D4—91no—
566C2×D4—181no—
567C22×C4—91no—
568C22×C4—91no—
569C22×C4—91no—
570C22×C4—181no—
571C22×C4—181no—
572C22×C4—181no—
573C22×C4—181no—
574C22×C4—181no—
575M16—182no—
576M16—182no—
577C2×C8—31no—
578C2×C8—31no—
579C2×C8—91no—
580C2×C8C2×D3211yescharacteristic
581C4⋊C4—31no—
582C4⋊C4—31no—
583C4⋊C4—31no—
584C4⋊C4—31no—
585C4⋊C4—61no—
586C4⋊C4—61no—
587C4⋊C4—61no—
588C4⋊C4—61no—
589C4⋊C4—91no—
590C4⋊C4—181no—
591C4⋊C4—181no—
592C4⋊C4—181no—
593C4⋊C4—181no—
594C4⋊C4C2×D3211yescharacteristic
595C22⋊C4—181no—
596C22⋊C4—181no—
597C22⋊C4—181no—
598C42—31no—
599C42—31no—
600C42—61no—
601C42—61no—
602C42—91no—
603C42—91no—
604C42—181no—
605C22×C3—21no—
606C22×C3C2×D3×D411yescharacteristic
607C22×C3C2×D3×D411yescharacteristic
608C2×D3—32no—
609C2×D3—32no—
610C2×D3—62no—
611C2×D3—61no—
612C2×D3—61no—
613C2×D3—61no—
614C2×D3—61no—
615C2×D3—62no—
616C2×D3—62no—
617C2×D3—121no—
618C2×D3—121no—
619C2×D3—122no—
620C2×D3—121no—
621C2×D3—121no—
622C2×D3—121no—
623C2×D3—121no—
624C2×D3—241no—
625C2×D3—241no—
626C3×C4—22no—
627C3×C4—22no—
628C3×C4—21no—
629C3×C4—21no—
630C3×C4—32no—
631C3×C4—32no—
632C3×C4—42no—
633C3×C4—41no—
634C3×C4—41no—
635C3×C4—61no—
636C3×C4—61no—
637C3×C4—81no—
638C3×C4—121no—
639C3×C4—121no—
640C3×C4—121no—
641C3×C4—121no—
642C3×C4C2×D3×Q811yescharacteristic
643C3×C4C2×D3×Q811yescharacteristic
644C3×C4D3×#4111yescharacteristic
645C3×C4D3×#4111yescharacteristic
646Dic3—21no—
647Dic3—21no—
648Dic3—32no—
649Dic3—32no—
650Dic3—41no—
651Dic3—41no—
652Dic3—41no—
653Dic3—41no—
654Dic3—62no—
655Dic3—121no—
656Dic3—121no—
657Dic3—241no—
658Dic3#91412yes—
659Dic3#91812yes—
660C32#307911yescharacteristic, complemented, Sylow
661C23—91no—
662C23—181no—
663Q8—21no—
664Q8—122no—
665Q8—122no—
666Q8—362no—
667Q8—362no—
668Q8#379712yescomplemented
669D4—92no—
670D4—184no—
671D4—181no—
672C2×C4—21no—
673C2×C4—21no—
674C2×C4—31no—
675C2×C4—31no—
676C2×C4—31no—
677C2×C4—31no—
678C2×C4—61no—
679C2×C4—61no—
680C2×C4—61no—
681C2×C4—61no—
682C2×C4—91no—
683C2×C4—92no—
684C2×C4—92no—
685C2×C4—184no—
686C2×C4—182no—
687C2×C4—182no—
688C2×C4—181no—
689C2×C4—362no—
690C2×C4—362no—
691C2×C4—362no—
692C2×C4—362no—
693C2×C4C22×D3211yescharacteristic
694C8—21no—
695C8—61no—
696C8—61no—
697C8—181no—
698C2×C3—21no—
699C2×C3—21no—
700C2×C3—21no—
701C2×C3D3×C22⋊Q811yescharacteristic
702C2×C3D3×C22⋊Q811yescharacteristic
703C2×C3C2×#91411yescharacteristic
704C2×C3C2×#91811yescharacteristic
705C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
706C2×C3D3×#13711yescharacteristic
707D3—62no—
708D3—62no—
709D3—122no—
710D3—122no—
711D3—122no—
712D3—242no—
713C22—92no—
714C22—181no—
715C22—181no—
716C22—182no—
717C22—361no—
718C22—361no—
719C22D32×D411yescharacteristic
720C4—22no—
721C4—32no—
722C4—32no—
723C4—41no—
724C4—61no—
725C4—61no—
726C4—92no—
727C4—121no—
728C4—121no—
729C4—121no—
730C4—121no—
731C4—361no—
732C4C2×#379711yescharacteristic
733C4#6431211yescharacteristic
734C3—21no—
735C3#8101211yescharacteristic, complemented
736C3#8110911yescharacteristic, complemented
737C2—182no—
738C2—362no—
739C2#1059406711yescharacteristic
740C2D3×#91411yescharacteristic
741C2D3×#91811yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#103C22
socleC22×C32C22×D4
prime radicalC2×#3832C22
hypercenter#103D32
hypocenterC32#3079
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4 ◁ #103

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
2. #10594374C2semidirect
4. C3×#4793C2semidirect
5. C3×#4791C2semidirect
7. #10591546C2semidirect
8. #10591544C2semidirect
9. #10590764C2semidirect
10. #10590759C2semidirect
11. #10590688C2semidirect
12. #10590666C2semidirect
13. #10590583C2semidirect
14. #10590466C2semidirect
15. #10590464C2semidirect
89. #4793D3semidirect
91. #4791D3semidirect
94. #3832Q8semidirect
237. C32×Q8C2×Q8semidirect
245. C4⋊(C3⋊D3)C2×Q8semidirect
472. C3×Q8D3×Q8semidirect
473. C3×Q8D3×Q8semidirect
660. C32#3079semidirect
668. Q8#3797semidirect
735. C3#81012semidirect
736. C3#81109semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#105953862
#105943742
#105925022
C3×#47932
C3×#47912
#105915542
#105915462
#105915442
#105907642
#105907592
#105906882
#105906662
#105905832
#105904662
#105904642
#811093
#810123